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Finding the Fourth Proportional to 539.12, 802.04 and 537.20

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Solution

The fourth proportional to 539.12, 802.04 and 537.20 is: 799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.12 : 802.04 = 537.20 : x
  2. Step 2: Convert to fraction form
    539.12/802.04 = 537.20/x
  3. Step 3: Cross multiply
    539.12x = 802.04 × 537.20
  4. Step 4: Simplify right side
    539.12x = 430,855.89
  5. Step 5: Solve for x
    x = 430,855.89/539.12
  6. Step 6: Final answer
    x = 799.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.